Categorical Landau Paradigm for Gapped Phases

Lakshya Bhardwaj; Lea E. Bottini; Daniel Pajer; Sakura Schäfer-Nameki

doi:10.1103/PhysRevLett.133.161601

Categorical Landau Paradigm for Gapped Phases

Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer, Sakura Schäfer-Nameki

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We propose a unified framework to classify gapped infrared phases with categorical symmetries, leading to a generalized, categorical Landau paradigm. This is applicable in any dimension and gives a succinct, comprehensive, and computationally powerful approach to classifying gapped symmetric phases. The key tool is the symmetry topological field theory, which is a one dimension higher topological field theory with two boundaries that we choose to be topological. We illustrate the general idea for (1+1)D gapped phases with categorical symmetries and suggest higher-dimensional extensions.

Original language	English
Article number	161601
Number of pages	6
Journal	Physical Review Letters
Volume	133
Issue number	16
DOIs	https://doi.org/10.1103/PhysRevLett.133.161601
Publication status	Published - 18 Oct 2024

Bibliographical note

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© 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

ASJC Scopus subject areas

General Physics and Astronomy

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Categorical Landau Paradigm for Gapped Phases

Abstract

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